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4 papers · 1 filter
General moment theorems for non-distinct unrestricted partitions
Michael Coons, Klaus Kirsten
A well-known result from Hardy and Ramanujan gives an asymptotic expression for the number of possible ways to express an integer as the sum of smaller integers. In this vein, we c…
Mathematical Aspects of Vacuum Energy on Quantum Graphs
G. Berkolaiko, J. M. Harrison, J. H. Wilson
We use quantum graphs as a model to study various mathematical aspects of the vacuum energy, such as convergence of periodic path expansions, consistency among different methods (t…
Deflated GMRES for Systems with Multiple Shifts and Multiple Right-Hand Sides
Dean Darnell, Ronald B. Morgan, Walter Wilcox
We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides. First, for a single right-hand side, the matrix is…
Heat content asymptotics with transmittal and transmission boundary conditions
Peter Gilkey, Klaus Kirsten
We study the heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Neumann, transmittal and transmission boundary conditions.